Least Common Multiple (LCM) of 51 and 73
The least common multiple (LCM) of 51 and 73 is 3723.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 51 and 73?
First, calculate the GCD of 51 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 73 = 0 remainder 51 |
| 2 | 73 ÷ 51 = 1 remainder 22 |
| 3 | 51 ÷ 22 = 2 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 115 | 8510 |
| 118 and 61 | 7198 |
| 128 and 143 | 18304 |
| 100 and 73 | 7300 |
| 124 and 94 | 5828 |